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106142470 = 2572365927
BaseRepresentation
bin1100101001110…
…01101100000110
321101201121002121
412110321230012
5204133024340
614311000154
72426124160
oct624715406
9241647077
10106142470
1154a07455
122b66905a
1318cb45c5
141014d930
1594b994a
hex6539b06

106142470 has 32 divisors (see below), whose sum is σ = 227847168. Its totient is φ = 34808928.

The previous prime is 106142467. The next prime is 106142471. The reversal of 106142470 is 74241601.

It is a super-2 number, since 2×1061424702 = 22532447875401800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106142471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31354 + ... + 34573.

It is an arithmetic number, because the mean of its divisors is an integer number (7120224).

Almost surely, 2106142470 is an apocalyptic number.

106142470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106142470 is an abundant number, since it is smaller than the sum of its proper divisors (121704698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106142470 is a wasteful number, since it uses less digits than its factorization.

106142470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65964.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 106142470 is about 10302.5467725218. The cubic root of 106142470 is about 473.4742846554.

The spelling of 106142470 in words is "one hundred six million, one hundred forty-two thousand, four hundred seventy".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1610 65927 131854 329635 461489 659270 922978 1516321 2307445 3032642 4614890 7581605 10614247 15163210 21228494 53071235 106142470